Question

I need help to solve this question

Answer 1

sub x=1, a(1)^2 +b(1) + c=0,

a+b+c=0______eqn 1

sub x=-1, a(-1)^2+b(-1)+c=2

a-b+c=2_______eqn 2

sub x=2, a(2)^2+b(2)+c=8

4a+2b+c=8______eqn 3

from eqn 1

c=-a-b

eqn2

a-b-a-b=2

-2b=2

b=-1

eqn3

4a + 2b -a-b=8

3a+b=8

3a+(-1)=8

3a-1=8

3a=9

a=3

c=-a-b

c=-3--1

c=-2